The Art and Science of Optical Design

Shannon, Robert R.

doi:10.1017/cbo9780511816529

Cited by 168 publications

(91 citation statements)

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“…Further, since the input and out chief rays are confined to the same meridional plane [4], , yielding and ́ in terms of and , the ratios of ́ to , and :…”

Section: Transfer Of Chief Ray's Direction Cosines Between the Pupilsmentioning

confidence: 99%

Geometric model of image formation in Scheimpflug cameras

Sinharoy

Rangarajan

Christensen

2016

Preprint

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We present a geometric model of image formation in Scheimpflug cameras that is most general. Scheimpflug imaging is commonly used is scientific and medical imaging either to increase the depth of field of the imager or to focus on tilted object surfaces. Existing Scheimpflug imaging models do not take into account the effect of pupil magnification (i.e. the ratio of the exit pupil diameter to the entrance pupil diameter), which we have found to affect the type of distortions experienced by the image-field upon lens rotations. In this work, we have also derived the relationship between the object, lens and sensor planes in Scheimpflug configuration, which is very similar in form with the standard Gaussian imaging equation, but applicable for imaging systems in which the lens plane and the sensor plane are arbitrarily oriented with respect to each other. Since the conventional rigid camera, in which the sensor and lens planes are constrained to be parallel to each other, is a special case of the Scheimpflug camera, our model also applies to imaging with conventional cameras.

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“…Further, since the input and out chief rays are confined to the same meridional plane [4], , yielding and ́ in terms of and , the ratios of ́ to , and :…”

Section: Transfer Of Chief Ray's Direction Cosines Between the Pupilsmentioning

confidence: 99%

Geometric model of image formation in Scheimpflug cameras

Sinharoy

Rangarajan

Christensen

2016

Preprint

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“…The rms WFE was the most convenient parameter to quantify the optical image quality degradation obtained through several types of analyses (thermal, mechanical and optical). The Shannon formula was used as a tool to obtain rms WFEs from the allocated MTF degradation values [4][5]. The Shannon formula is described in Eq.…”

Section: Requirement and Specificationsmentioning

confidence: 99%

Dual Band Optical Window (DBW) for Use on an EO/IR Airborne Camera

Park¹,

Park²,

Kim³

et al. 2012

Journal of the Optical Society of Korea

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This paper presents a method to derive the theoretical requirements for the development of a 400 mm optical window that transmits dual-band wavelengths and had a stable structure. We also present design and fabrication results. Among the required specifications, the surface figure error was defined by the transmitted wavefront deformation (TWD), λ/15 rms at 632.8 nm. This value was derived by estimating the predicted performances with respect to five independent items that could cause system performance degradation and then calculating the required wavefront error (WFE) to satisfy the performance goals. We measured the image resolution at each performance level to trace and verify the requirements. The article also describes a design optimization process that could minimize the weight and volume of the optical window attached to the payload securing the FOV of the camera. In addition, we accurately measured the deformation that occurred in the series of fabrication steps including processing, coating, assembly, bonding and bolting, and investigated the effects by comparing them to the results of a simulation performed in advance to derive the predicted performance.

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“…In Russia this approach was developed by Mickael Russinov (Russinov,1979) and his successors (Livshts at al, 2009), (Livshits&Vasiliev, 2010) and in the USA by Robert Shannon (Shannon, 1997). The main feature of this method is the complete understanding of the functional purpose of each optical surface.…”

Section: The Problem Of a Starting Point Selectionmentioning

confidence: 99%